# Helical-gear geometry and forces # Scope: Normal-to-transverse module conversion for a helical gear. # Status: illustrative worked example; engineering review pending. # Inputs are example values. Checks are editable example requirements, not standards. normalModule = 2 mm helix = 20 deg teeth = 30 transverseModule := normalModule/cos(helix) [mm] pitch := transverseModule*teeth [mm] check pitch diameter budget: pitch <= 70 mm scenario alternative: normalModule = 1.6 mm # Diagram dimensions are illustrative; teeth are schematic, not manufacturing profiles. check whole teeth: abs(teeth-round(teeth)) <= 0 check positive teeth: teeth >= 3